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Finding the Fourth Proportional to 500.38, 750.57 and 284.11

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Solution

The fourth proportional to 500.38, 750.57 and 284.11 is: 426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.38 : 750.57 = 284.11 : x
  2. Step 2: Convert to fraction form
    500.38/750.57 = 284.11/x
  3. Step 3: Cross multiply
    500.38x = 750.57 × 284.11
  4. Step 4: Simplify right side
    500.38x = 213,241.50
  5. Step 5: Solve for x
    x = 213,241.50/500.38
  6. Step 6: Final answer
    x = 426.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.